Aouf, M. K.; Mostafa, A. O. Some properties of a subclass of uniformly convex functions with negative coefficients. (English) Zbl 1159.30307 Demonstr. Math. 41, No. 2, 353-370 (2008). Summary: The aim of this paper is to obtain coefficient estimates, distortion theorem, extreme points and radii of close-to-convexity, starlikeness and convexity for functions belonging to the subclass \(TS_\lambda(n,\alpha,\beta)\) of uniformly convex functions with negative coefficients. We also derive many results for the modified Hadamard products of functions belonging to the class \(TS_\lambda(n,\alpha,\beta)\), and obtain several interesting distortion theorems for certain fractional operators of functions in this class. Finally, we consider integral operators associated with functions in this class. Cited in 4 Documents MSC: 30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) Keywords:convex function; starlike function; uniformly convex function; modified Hadamard product PDFBibTeX XMLCite \textit{M. K. Aouf} and \textit{A. O. Mostafa}, Demonstr. Math. 41, No. 2, 353--370 (2008; Zbl 1159.30307) Full Text: DOI